To test the series sum_(k=1)^(∞) (1)/(2k^9+7k^10) for convergence, you will use the Limit Comparison Test, comparing it
to the p series sum_(k=1)^(∞) (1)/(7k^p) where p=
Now by the limit comparison test, the series sum_(k=1)^(∞) (1)/(2k^9+7k^10)
converges diverges
To test the series for convergence, you will use the Limit Comparison Test, comparing it 2k^9+7k^10
to the p series where p= 7k^p
Now by the limit comparison test, the series 2k^9+7k^10 =1
converges diverges